Chemistry Syllabus (JEE Main)
Q. If 3 moles of a gas occupy 60 liters at STP, what is the molar volume of the gas?
A.
20 L
B.
30 L
C.
40 L
D.
60 L
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Solution
Molar volume = total volume / number of moles = 60 L / 3 moles = 20 L/mole.
Correct Answer: B — 30 L
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Q. If 3 moles of a gas occupy 60 liters, what is the volume occupied by 1 mole of the gas at the same conditions?
A.
20 L
B.
30 L
C.
15 L
D.
10 L
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Solution
Volume per mole = total volume / number of moles = 60 L / 3 moles = 20 L/mole.
Correct Answer: A — 20 L
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Q. If 4 moles of aluminum react with 3 moles of oxygen, how many moles of aluminum oxide are formed?
A.
2 moles
B.
3 moles
C.
4 moles
D.
6 moles
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Solution
The balanced equation is 4Al + 3O2 → 2Al2O3, which shows that 4 moles of Al produce 2 moles of Al2O3.
Correct Answer: A — 2 moles
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Q. If 4 moles of solute are dissolved in 2 kg of solvent, what is the molality of the solution?
A.
2 m
B.
4 m
C.
1 m
D.
0.5 m
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Solution
Molality (m) = moles of solute / kg of solvent = 4 moles / 2 kg = 2 m.
Correct Answer: A — 2 m
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Q. If 5 moles of KCl are dissolved in 1 kg of water, what is the molality of the solution?
A.
5 m
B.
2.5 m
C.
10 m
D.
1 m
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Solution
Molality (m) = moles of solute / kg of solvent = 5 moles / 1 kg = 5 m.
Correct Answer: A — 5 m
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Q. If 5 moles of KCl are dissolved in 3 kg of water, what is the molality of the solution?
A.
1.67 m
B.
2.5 m
C.
1.25 m
D.
0.5 m
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Solution
Molality (m) = moles of solute / kg of solvent = 5 moles / 3 kg = 1.67 m.
Correct Answer: A — 1.67 m
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Q. If 5 moles of NaCl are dissolved in water, how many moles of Na+ ions are present?
A.
5 moles
B.
10 moles
C.
2.5 moles
D.
0 moles
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Solution
Each mole of NaCl dissociates into 1 mole of Na+ ions. Therefore, 5 moles of NaCl will produce 5 moles of Na+ ions.
Correct Answer: A — 5 moles
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Q. If 50 g of KCl is dissolved in 250 mL of solution, what is the molarity? (Molar mass of KCl = 74.5 g/mol)
A.
2.68 M
B.
1.34 M
C.
0.67 M
D.
0.25 M
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Solution
Moles of KCl = 50 g / 74.5 g/mol = 0.672 moles. Molarity = 0.672 moles / 0.25 L = 2.688 M.
Correct Answer: B — 1.34 M
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Q. If 50 grams of a solute is dissolved in 200 mL of solution, what is the mass/volume percent concentration?
A.
25%
B.
20%
C.
15%
D.
10%
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Solution
Mass/volume percent = (mass of solute / volume of solution) * 100 = (50 g / 200 mL) * 100 = 25%.
Correct Answer: A — 25%
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Q. If 50 grams of NaCl is dissolved in 1 liter of solution, what is the molarity? (Molar mass of NaCl = 58.5 g/mol)
A.
0.85 M
B.
1.0 M
C.
1.5 M
D.
2.0 M
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Solution
Moles of NaCl = 50 g / 58.5 g/mol = 0.854 moles. Molarity = 0.854 moles / 1 L = 0.854 M.
Correct Answer: B — 1.0 M
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Q. If 50 grams of NaOH is dissolved in 1 liter of solution, what is the molarity? (Molar mass of NaOH = 40 g/mol)
A.
1.25 M
B.
2.5 M
C.
0.5 M
D.
1 M
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Solution
Moles of NaOH = 50 g / 40 g/mol = 1.25 moles. Molarity = 1.25 moles / 1 L = 1.25 M.
Correct Answer: B — 2.5 M
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Q. If 50 mL of 0.1 M HCl is mixed with 50 mL of 0.1 M NaOH, what is the resulting pH?
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Solution
HCl and NaOH neutralize each other, resulting in a neutral solution with pH = 7.
Correct Answer: A — 7
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Q. If 7x - 3 = 4x + 6, what is the value of x?
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Solution
Subtracting 4x from both sides gives 3x - 3 = 6, then adding 3 gives 3x = 9, leading to x = 3.
Correct Answer: B — 2
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Q. If 7x = 21, what is the value of x?
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Solution
Dividing both sides by 7 gives x = 3.
Correct Answer: C — 3
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Q. If a beam is supported at both ends and a load is applied at the center, what is the reaction force at each support?
A.
Equal to the load
B.
Half the load
C.
Double the load
D.
Zero
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Solution
In this case, the reaction force at each support is half the load applied at the center.
Correct Answer: B — Half the load
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Q. If a force of 10 N is applied at an angle of 30 degrees to the horizontal, what is the horizontal component of the force?
A.
5 N
B.
8.66 N
C.
10 N
D.
0 N
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Solution
The horizontal component is calculated as 10 N * cos(30°) = 8.66 N.
Correct Answer: B — 8.66 N
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Q. If a reaction has a ΔG of +5 kJ/mol, what can be inferred?
A.
The reaction is spontaneous
B.
The reaction is non-spontaneous
C.
The reaction is at equilibrium
D.
The reaction is exothermic
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Solution
A ΔG of +5 kJ/mol indicates that the reaction is non-spontaneous.
Correct Answer: B — The reaction is non-spontaneous
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Q. If a reaction has ΔH = 100 kJ and ΔS = -200 J/K, what is ΔG at 298 K?
A.
0 kJ
B.
100 kJ
C.
200 kJ
D.
300 kJ
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Solution
ΔG = ΔH - TΔS = 100 kJ - 298 K * (-0.2 kJ/K) = 100 kJ + 59.6 kJ = 159.6 kJ.
Correct Answer: D — 300 kJ
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Q. If a solution has a vapor pressure of 80 mmHg and the pure solvent has a vapor pressure of 100 mmHg, what is the mole fraction of the solvent?
A.
0.8
B.
0.75
C.
0.6
D.
0.5
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Solution
Using Raoult's Law, the mole fraction of the solvent can be calculated as 80 mmHg / 100 mmHg = 0.8, which corresponds to a mole fraction of 0.75 for the solvent.
Correct Answer: B — 0.75
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Q. If an electron has quantum numbers n=2, l=0, and m_l=0, which orbital does it occupy?
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Solution
The quantum numbers correspond to the 2s orbital, where l=0 indicates an s orbital.
Correct Answer: A — 2s
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Q. If an electron has quantum numbers n=3, l=1, and m_l=-1, what is the possible value of the spin quantum number?
A.
+1/2
B.
-1/2
C.
0
D.
1
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Solution
The spin quantum number can be either +1/2 or -1/2, so both values are possible.
Correct Answer: A — +1/2
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Q. If an electron has the quantum numbers n=3, l=1, m_l=0, what type of orbital does it occupy?
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Solution
For l=1, the electron occupies a p orbital.
Correct Answer: B — p
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Q. If an electron has the quantum numbers n=3, l=1, m_l=0, what type of orbital is it in?
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Solution
For l=1, the orbital is a p orbital.
Correct Answer: B — p
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Q. If an electron is in the state characterized by the quantum numbers n=4, l=0, what is the value of m_l?
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Solution
For l=0, m_l can only be 0.
Correct Answer: A — 0
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Q. If an electron is in the state characterized by the quantum numbers n=4, l=2, what is the value of m_l?
A.
-2
B.
0
C.
2
D.
All of the above
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Solution
For l=2, m_l can take values -2, -1, 0, 1, 2. Therefore, all of the options are valid.
Correct Answer: D — All of the above
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Q. If n=4 and l=2, what is the type of orbital?
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Solution
For l=2, the orbital type is d.
Correct Answer: C — d
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Q. If the activation energy of a reaction is increased, what happens to the rate constant k?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
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Solution
According to the Arrhenius equation, an increase in activation energy results in a decrease in the rate constant k.
Correct Answer: B — Decreases
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Q. If the azimuthal quantum number l = 1, what is the shape of the orbital?
A.
Spherical
B.
Dumbbell
C.
Double dumbbell
D.
None of the above
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Solution
The azimuthal quantum number l = 1 corresponds to p orbitals, which have a dumbbell shape.
Correct Answer: B — Dumbbell
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Q. If the concentration of reactants is increased in a system at equilibrium, what will happen to the position of equilibrium?
A.
Shift to the right
B.
Shift to the left
C.
No change
D.
Depends on temperature
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Solution
According to Le Chatelier's principle, increasing the concentration of reactants will shift the equilibrium position to the right, favoring the formation of products.
Correct Answer: A — Shift to the right
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Q. If the enthalpy of a system increases, the process is considered _____.
A.
exothermic
B.
endothermic
C.
isothermal
D.
adiabatic
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Solution
If the enthalpy of a system increases, the process is considered endothermic.
Correct Answer: B — endothermic
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